0=2x-24-338/x^2

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Solution for 0=2x-24-338/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

0 = 2*x-(338/(x^2))-24 // - 2*x-(338/(x^2))-24

338/(x^2)-(2*x)+0+24 = 0

338/(x^2)-2*x+0+24 = 0

338*x^-2-2*x^1+24*x^0 = 0

(24*x^2-2*x^3+338*x^0)/(x^2) = 0 // * x^4

x^2*(24*x^2-2*x^3+338*x^0) = 0

x^2

24*x^2-2*x^3+338 = 0

{ 1, -1, 2, -2, 13, -13, 26, -26, 169, -169, 338, -338 }

1

x = 1

24*x^2-2*x^3+338 = 360

1

-1

x = -1

24*x^2-2*x^3+338 = 364

-1

2

x = 2

24*x^2-2*x^3+338 = 418

2

-2

x = -2

24*x^2-2*x^3+338 = 450

-2

13

x = 13

24*x^2-2*x^3+338 = 0

13

x-13

-2*x^2-2*x-26

24*x^2-2*x^3+338

x-13

2*x^3-26*x^2

338-2*x^2

2*x^2-26*x

338-26*x

26*x-338

0

-2*x^2-2*x-26 = 0

DELTA = (-2)^2-(-26*(-2)*4)

DELTA = -204

DELTA < 0

x in { 13} 

x = 13

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